Statistical Inference for Coefficient Alpha

Feldt, Leonard S.; Woodruff, David J.; Salih, Fathi A.

doi:10.1177/014662168701100107

Cited by 444 publications

(336 citation statements)

References 13 publications

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“…Procedures for making inferences (e.g. the exact confidence intervals) on the Cronbach's alpha can be found in Feldt et al (1987). Tables 1a and 1b Cronbach's alpha for the three HDI components lie between 0.86 and 0.93, i.e.…”

Section: -Methodology and Resultsmentioning

confidence: 99%

On Weighting the Components of the Human Development Index: A Statistical Justification

Nguefack‐Tsague

Klasen

Zucchini

2011

Journal of Human Development and Capabilities

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Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in AbstractThe Human Development Index (HDI) published in the Human Development Report (HDR) of the United Nations Development Program is calculated as a simple average of the Life Expectancy Index (LEI), the Education Index (EI) and the Gross Domestic Product Index (GDPI). This paper provides statistical support for the use of this seemingly arbitrary equal weighting of the three components by treating human development as a latent concept imperfectly captured by its three component indices. We show that a principal component analysis (PCA) based on the correlation matrix of the components leads to practically the same weights. Specifically we show that, for the period 1975 to 2005, the first principal component accounts for between 78% and 90% of the total variability in the data, and that its coefficients are positive and nearly equal. By normalizing the coefficients, the simple average weighting (1/3, 1/3, 1/3) scheme is obtained. The ranks of countries obtained using the PCA weightings are very similar to those based on the HDI. An advantage of the simple equal weighting is that one can define a simple index to measure the balance of a country's development, given its HDI which we show below.

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Section: -Methodology and Resultsmentioning

confidence: 99%

On Weighting the Components of the Human Development Index: A Statistical Justification

Nguefack‐Tsague

Klasen

Zucchini

2011

Journal of Human Development and Capabilities

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“…El efecto de la reducción de los ítems sobre el coeficiente α fue evaluado de dos maneras; primero, se probó la hipótesis inferencial que el coeficiente a de la forma corta es igual a la de la forma larga, mediante un programa informático ad hoc (ALPHATEST; Lautenschlager y Meade, 1987), que implementa el procedimiento asintó-tico basado en la distribución F (Feldt, 1980;Feldt, Woodruff y Salih, 1987). Usando las correlaciones entre-formas no corregidas y corregidas por espuriedad (ver la siguiente sección), se halló una diferencia estadística entre ambos coeficientes: c Ambos análisis muestran que la reducción de la consistencia interna en el BSSS4 es sustancial y estadísticamente significativa.…”

Section: Fiabilidadunclassified

Escala breve de búsqueda de sensaciones (BSSS): estructura latente de las versiones de 8 y 4 ítems en adolescentes peruanos

Merino-Soto

Blas

2017

Adicciones

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Questionnaires were administered to 618 voluntary participants, with an average age of 13.6 years, from different levels of high school, state and private school in a district in the south of Lima. It analyzed the internal structure of both short versions using three models: a) unidimensional (M1), b) oblique or related dimensions (M2), and c) the bifactor model (M3). Results show that both instruments have a single dimension which best represents the variability of the items; a fact that can be explained both by the complexity of the concept and by the small number of items representing each factor, which is more noticeable in the BSSS4. Reliability is within levels found by previous studies: alpha: .745 = BSSS8 and BSSS4 =. 643; omega coefficient: .747 in BSSS8 and .651 in BSSS4. These are considered suitable for the type of instruments studied. Based on the correlation between the two instruments, it was found that there are satisfactory levels of equivalence between the BSSS8 and BSSS4. However, it is recommended that the BSSS4 is mainly used for research and for the purpose of describing populations. ambos instrumentos tienen una sola dimensión que representa mejor la variabilidad de los ítems, hecho que puede ser explicado tanto por la complejidad del concepto como por la pequeña cantidad de ítems que representan a cada factor; aspecto que se potencia en el BSSS4; la fiabilidad cae dentro de los niveles que los estudios anteriores hallaron (Alfa: BSSS8= .745 y BSSS4= .643) y (Coeficiente Omega: .747 del BSSS8 y .651 del BSSS4) los mismos que se consideran adecuados para el tipo de instrumentos estudiados. A partir de la correlación entre ambos instrumentos, se encontró que existen niveles satisfactorios de equivalencia entre el BSSS8 y BSSS4. Se recomienda sin embargo que el BSSS4 se utilice fundamentalmente para trabajos de investigación y con propósitos de describir poblaciones.Palabras clave: búsqueda de sensaciones; adolescente; estructura interna; validación; fiabilidad; equivalencia. Escala breve de búsqueda de sensaciones (BSSS): estructura latente de las versiones de 8 y 4 ítems en adolescentes peruanos

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“…We used the .80 as the cut-off for acceptable reliability, as recommended by Nunnally and Bernstein (1994) for scale scores intended for use in clinical settings. Differences in internal consistency between groups were evaluated via Ftests for Cronbach's alphas from independent samples (Feldt, 1969;Feldt, Woodruff, & Salih, 1987), adjusting the p-value criterion to < .003 (.05/17) to control for Type-1 error rates.…”

Section: Data Analytic Approachmentioning

confidence: 99%

The Youth Self Report: Applicability and Validity Across Younger and Older Youths

Ebesutani

Bernstein

Martinez

et al. 2011

Journal of Clinical Child & Adolescent Psychology

181

117

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The Youth Self Report (YSR) is a widely used measure of youth emotional and behavioral problems. Although the YSR was designed for youths ages 11-18, no studies have systematically evaluated whether youths under the age of 11 can make valid reports using the YSR broad-band, syndrome and DSM-oriented scales. This study thus examined the reliability and validity of the YSR scales scores for younger (ages 7-10; n=184) and older (ages 11-14; n=147) youths. Results demonstrated that younger youths were able to provide reliable reports on the YSR broad band (Internalizing, Externalizing) scales, though less so on the narrow band scales. Across all scales, the externalizing scales performed more favorably than the internalizing scales among both younger and older youth. Younger youths' DSM-oriented scales corresponded significantly with DSM diagnoses. Model fit of the narrow and broad band scales were also supported in both younger and older samples. These results provide initial support for administration of the YSR to younger youths.

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Statistical Inference for Coefficient Alpha

Cited by 444 publications

References 13 publications

On Weighting the Components of the Human Development Index: A Statistical Justification

On Weighting the Components of the Human Development Index: A Statistical Justification

Escala breve de búsqueda de sensaciones (BSSS): estructura latente de las versiones de 8 y 4 ítems en adolescentes peruanos

The Youth Self Report: Applicability and Validity Across Younger and Older Youths

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